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Applied Calculus - Advanced Learning Edition (Looseleaf New Only)

Applied Calculus - Advanced Learning Edition (Looseleaf New Only) - 2nd edition

ISBN13: 978-0471455301

Cover of Applied Calculus - Advanced Learning Edition (Looseleaf New Only) 2ND 04 (ISBN 978-0471455301)
ISBN13: 978-0471455301
ISBN10: 047145530X
Cover type:
Edition: 2ND 04
Copyright: 2004
Publisher: John Wiley & Sons, Inc.
Published: 2004
International: No

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Applied Calculus - Advanced Learning Edition (Looseleaf New Only) - 2ND 04 edition

ISBN13: 978-0471455301

Hughes-Hallett, Lock, Gleason, Flath, Gordon, Lomen and Lovelock

ISBN13: 978-0471455301
ISBN10: 047145530X
Cover type:
Edition: 2ND 04
Copyright: 2004
Publisher: John Wiley & Sons, Inc.
Published: 2004
International: No
Summary
  • The authors provide alternative avenues through which students can understand the material. Each topic is presented four ways: geometrically, numerically, analytically, and verbally.
  • The student starts with a practical problem and derives general results from it.
  • The topics included in the book were chosen after discussion with professors from a variety of disciplines, especially business, economics, and life sciences.
  • Many of the real-world problems are open-ended, meaning that there may be more than one approach and more than one solution, depending on the student's analysis. Solving a problem often relies on the use of common sense and critical thinking skills. Students are encouraged to develop estimating and approximating skills.
  • The book presents the main ideas of calculus in a clear, simple manner to improve students' understanding and encourage them to read the examples.
  • Worked out examples are not entirely like the problem sets in the text. The result is that students cannot simply mimic techniques from the examples without actually learning the concepts.
  • Technology is used as a tool to help students visualize the concepts and learn to think mathematically. Graphics calculators, graphing software, or computer algebra systems perfectly complement this book but the emphasis is on the calculus concepts rather than the technology.

Table of Contents

Functions and Change

Rate of Change: The Derivative

Short-Cuts to Differentiation

Using the Derivative

Accumulated Change: The Definite Integral

Using the Integral

Antiderivatives

Probability

Functions of Several Variables

Mathematical Modeling and Differential Equations

Geometric Series

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